Planck-cmb-allsky

Planck 2013 results. XXIV. Constraints on primordial non-Gaussianity

November 2014 • 2014A&A...571A..24P

Authors • Planck Collaboration • Ade, P. A. R. • Aghanim, N. • Armitage-Caplan, C. • Arnaud, M. • Ashdown, M. • Atrio-Barandela, F. • Aumont, J. • Baccigalupi, C. • Banday, A. J. • Barreiro, R. B. • Bartlett, J. G. • Bartolo, N. • Battaner, E. • Benabed, K. • Benoît, A. • Benoit-Lévy, A. • Bernard, J. -P. • Bersanelli, M. • Bielewicz, P. • Bobin, J. • Bock, J. J. • Bonaldi, A. • Bonavera, L. • Bond, J. R. • Borrill, J. • Bouchet, F. R. • Bridges, M. • Bucher, M. • Burigana, C. • Butler, R. C. • Cardoso, J. -F. • Catalano, A. • Challinor, A. • Chamballu, A. • Chiang, H. C. • Chiang, L. -Y. • Christensen, P. R. • Church, S. • Clements, D. L. • Colombi, S. • Colombo, L. P. L. • Couchot, F. • Coulais, A. • Crill, B. P. • Curto, A. • Cuttaia, F. • Danese, L. • Davies, R. D. • Davis, R. J. • de Bernardis, P. • de Rosa, A. • de Zotti, G. • Delabrouille, J. • Delouis, J. -M. • Désert, F. -X. • Diego, J. M. • Dole, H. • Donzelli, S. • Doré, O. • Douspis, M. • Ducout, A. • Dunkley, J. • Dupac, X. • Efstathiou, G. • Elsner, F. • Enßlin, T. A. • Eriksen, H. K. • Fergusson, J. • Finelli, F. • Forni, O. • Frailis, M. • Franceschi, E. • Galeotta, S. • Ganga, K. • Giard, M. • Giraud-Héraud, Y. • González-Nuevo, J. • Górski, K. M. • Gratton, S. • Gregorio, A. • Gruppuso, A. • Hansen, F. K. • Hanson, D. • Harrison, D. • Heavens, A. • Henrot-Versillé, S. • Hernández-Monteagudo, C. • Herranz, D. • Hildebrandt, S. R. • Hivon, E. • Hobson, M. • Holmes, W. A. • Hornstrup, A. • Hovest, W. • Huffenberger, K. M. • Jaffe, A. H. • Jaffe, T. R. • Jones, W. C. • Juvela, M. • Keihänen, E. • Keskitalo, R. • Kisner, T. S. • Knoche, J. • Knox, L. • Kunz, M. • Kurki-Suonio, H. • Lacasa, F. • Lagache, G. • Lähteenmäki, A. • Lamarre, J. -M. • Lasenby, A. • Laureijs, R. J. • Lawrence, C. R. • Leahy, J. P. • Leonardi, R. • Lesgourgues, J. • Lewis, A. • Liguori, M. • Lilje, P. B. • Linden-Vørnle, M. • López-Caniego, M. • Lubin, P. M. • Macías-Pérez, J. F. • Maffei, B. • Maino, D. • Mandolesi, N. • Mangilli, A. • Marinucci, D. • Maris, M. • Marshall, D. J. • Martin, P. G. • Martínez-González, E. • Masi, S. • Massardi, M. • Matarrese, S. • Matthai, F. • Mazzotta, P. • Meinhold, P. R. • Melchiorri, A. • Mendes, L. • Mennella, A. • Migliaccio, M. • Mitra, S. • Miville-Deschênes, M. -A. • Moneti, A. • Montier, L. • Morgante, G. • Mortlock, D. • Moss, A. • Munshi, D. • Murphy, J. A. • Naselsky, P. • Natoli, P. • Netterfield, C. B. • Nørgaard-Nielsen, H. U. • Noviello, F. • Novikov, D. • Novikov, I. • Osborne, S. • Oxborrow, C. A. • Paci, F. • Pagano, L. • Pajot, F. • Paoletti, D. • Pasian, F. • Patanchon, G. • Peiris, H. V. • Perdereau, O. • Perotto, L. • Perrotta, F. • Piacentini, F. • Piat, M. • Pierpaoli, E. • Pietrobon, D. • Plaszczynski, S. • Pointecouteau, E. • Polenta, G. • Ponthieu, N. • Popa, L. • Poutanen, T. • Pratt, G. W. • Prézeau, G. • Prunet, S. • Puget, J. -L. • Rachen, J. P. • Racine, B. • Rebolo, R. • Reinecke, M. • Remazeilles, M. • Renault, C. • Renzi, A. • Ricciardi, S. • Riller, T. • Ristorcelli, I. • Rocha, G. • Rosset, C. • Roudier, G. • Rubiño-Martín, J. A. • Rusholme, B. • Sandri, M. • Santos, D. • Savini, G. • Scott, D. • Seiffert, M. D. • Shellard, E. P. S. • Smith, K. • Spencer, L. D. • Starck, J. -L. • Stolyarov, V. • Stompor, R. • Sudiwala, R. • Sunyaev, R. • Sureau, F. • Sutter, P. • Sutton, D. • Suur-Uski, A. -S. • Sygnet, J. -F. • Tauber, J. A. • Tavagnacco, D. • Terenzi, L. • Toffolatti, L. • Tomasi, M. • Tristram, M. • Tucci, M. • Tuovinen, J. • Valenziano, L. • Valiviita, J. • Van Tent, B. • Varis, J. • Vielva, P. • Villa, F. • Vittorio, N. • Wade, L. A. • Wandelt, B. D. • White, M. • White, S. D. M. • Yvon, D. • Zacchei, A. • Zonca, A.

Abstract • The Planck nominal mission cosmic microwave background (CMB) maps yield unprecedented constraints on primordial non-Gaussianity (NG). Using three optimal bispectrum estimators, separable template-fitting (KSW), binned, and modal, we obtain consistent values for the primordial local, equilateral, and orthogonal bispectrum amplitudes, quoting as our final result fNLlocal = 2.7 ± 5.8, fNLequil = -42 ± 75, and fNLorth = -25 ± 39 (68% CL statistical). Non-Gaussianity is detected in the data; using skew-C statistics we find a nonzero bispectrum from residual point sources, and the integrated-Sachs-Wolfe-lensing bispectrum at a level expected in the ΛCDM scenario. The results are based on comprehensive cross-validation of these estimators on Gaussian and non-Gaussian simulations, are stable across component separation techniques, pass an extensive suite of tests, and are confirmed by skew-C, wavelet bispectrum and Minkowski functional estimators. Beyond estimates of individual shape amplitudes, we present model-independent, three-dimensional reconstructions of the Planck CMB bispectrum and thus derive constraints on early-Universe scenarios that generate primordial NG, including general single-field models of inflation, excited initial states (non-Bunch-Davies vacua), and directionally-dependent vector models. We provide an initial survey of scale-dependent feature and resonance models. These results bound both general single-field and multi-field model parameter ranges, such as the speed of sound, cs ≥ 0.02 (95% CL), in an effective field theory parametrization, and the curvaton decay fraction rD ≥ 0.15 (95% CL). The Planck data significantly limit the viable parameter space of the ekpyrotic/cyclic scenarios. The amplitude of the four-point function in the local model τNL< 2800 (95% CL). Taken together, these constraints represent the highest precision tests to date of physical mechanisms for the origin of cosmic structure.

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